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Finding the Fourth Proportional to 329,441.40, 494,745.30 and 254,743.20

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Solution

The fourth proportional to 329,441.40, 494,745.30 and 254,743.20 is: 382,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,441.40 : 494,745.30 = 254,743.20 : x
  2. Step 2: Convert to fraction form
    329,441.40/494,745.30 = 254,743.20/x
  3. Step 3: Cross multiply
    329,441.40x = 494,745.30 × 254,743.20
  4. Step 4: Simplify right side
    329,441.40x = 126,033,000,906.96
  5. Step 5: Solve for x
    x = 126,033,000,906.96/329,441.40
  6. Step 6: Final answer
    x = 382,565.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.